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Finding the Fourth Proportional to 375.20, 562.16 and 317.60

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Solution

The fourth proportional to 375.20, 562.16 and 317.60 is: 475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 562.16 = 317.60 : x
  2. Step 2: Convert to fraction form
    375.20/562.16 = 317.60/x
  3. Step 3: Cross multiply
    375.20x = 562.16 × 317.60
  4. Step 4: Simplify right side
    375.20x = 178,542.02
  5. Step 5: Solve for x
    x = 178,542.02/375.20
  6. Step 6: Final answer
    x = 475.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.